(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There are three pulleys in this system. The leftmost pulley is attached to ceiling. It has a string running through it with a mass of m attached. The rightmost pulley is also attached to the ceiling. It has the same string running through it with a mass of 3m attached. In the middle of these two pulleys is a third pulley with a mass 2m attached. The same string from the first two pulleys runs through this pulley too. I need to find the accelerations of the three masses in terms of m

2. Relevant equations

Net force equations

3. The attempt at a solution

I just want to make sure my net force equations are correct before I apply the conservation of string. For the mass on the left, I have [tex]\sum F=T - mg = ma_{1}[/tex] for the mass on the right I have [tex]\sum F = T - 3mg = 3ma_{3}[/tex] For the mass in the middle I have [tex]\sum F = 2T - 2mg = 2ma_{2}[/tex]

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Atwood's Machine with 3 pulleys

**Physics Forums | Science Articles, Homework Help, Discussion**